Answer:
The whisker box-plot that represents this data is:
Option: C
Step-by-step explanation:
We have the set of data points as:
11, 12, 15, 16, 17, 19, 22, 24, 29, 33, 38
From these data points we could observe that the:
Minimum value of whisker-box plot is: 11
Maximum value of whisker-box plot is: 38
The median is the central tendency of the data and the middle line in the box-plot represents the median.
Hence, here we have:
Median i.e. =19
Also, we know that the minimum value of the box represents the lower quartile and it is the median of the lower set of the data and is:
Also lower set of data is:
11, 12, 15, 16, 17
and the middle value of data is: 15
Hence,
Lower quartile i.e. =15
Similarly,
the minimum value of the box represents the upper quartile and it is the median of the upper set of the data.
The upper set of data is:
22,24,29,33,38
and median of the uppers set of data is 29.
Hence,
Upper quartile i..e =29.
Option: C is the correct answer.
